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36 Cards in this Set
- Front
- Back
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Point |
indicates a location and has no size |
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Line |
represented by a straight path that extends in two opposite directions without end and has no thickness; contains infinitely many points |
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Plane |
represented by a flat surface that extends without end and has no thickness; contains infinitely many lines |
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Collinear Points |
points that lie on the same line |
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Coplanar |
points and lines that lie in the same plane |
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Segment |
part of a line that consists of two endpoints and all the points between them |
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Ray |
part of a line that consists of one endpoint and all the points of the line on one side of the endpoint |
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Opposite Rays |
two rays that share the same endpoint and form a line |
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Postulate |
an accepted statement of fact |
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Angle |
formed by two rays with the same endpoint |
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Acute Angle |
an angle that measures 0° ≤ x ≤ 90° |
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Right Angle |
an angle that measures exactly 90° |
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Obtuse Angle |
an angle that measures 90° ≤ x ≤ 180° |
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Straight Angle |
anangle that measures exactly 180° |
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Non Collinear Points |
points that do not lie on the same line |
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Non Coplanar |
points and lines that do not lie in the same plane |
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Skew |
objects that are neither parallel and do not intersect |
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Complementary Angles |
Two angles whose measures have a sum of 90° |
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Supplementary Angles |
Two angles whose measures have a sum of 180° |
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Conjecture |
An unproved statement that seems to be true |
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Counterexample |
An example or case that proves a conjecture or theory wrong |
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Converse |
A version of a conditional statement formed by interchanging the hypothesis and conclusion of the statement |
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Contrapositive |
A version of a conditional statement formed by interchanging and negating both the hypothesis and conclusion of the statement |
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Inverse |
A version of a conditional statement formed by negating both the hypothesis and conclusion of the statement |
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Negation |
A version of a conditional statement formed by negating both the hypothesis and conclusion of the statement |
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Biconditional Statement |
Two statements connected by the words “if and only if” |
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Deductive Reasoning |
The use of facts, definitions, rules, and/or properties to prove that a conjecture is true |
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Inductive Reasoning |
The process of observing data, recognizing patterns, and making a generalization |
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Theorem |
A statement or conjecture that has been proven |
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Proof |
An argument that transforms a conjecture to a theorem through the application of logical reasoning or deductive reasoning |
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Hypothesis |
The “if” clause in an if-then statement |
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Conclusion |
The “then” clause in an if-then statement |
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Axiomatic System |
A logical system based on undefined terms, definitions, axioms or postulates, and theorems |
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Radius |
A line segment connecting the center of a circle with a point on the circle, or the length of such a segment |
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Diameter |
A chord containing the center of a circle or sphere, or the length of such a chord |
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Chord |
A segment whose endpoints are points of a circle or points of a sphere |
